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Homework Help: Atwood's Machine with 3 pulleys

  1. Jan 28, 2010 #1
    1. The problem statement, all variables and given/known data
    There are three pulleys in this system. The leftmost pulley is attached to ceiling. It has a string running through it with a mass of m attached. The rightmost pulley is also attached to the ceiling. It has the same string running through it with a mass of 3m attached. In the middle of these two pulleys is a third pulley with a mass 2m attached. The same string from the first two pulleys runs through this pulley too. I need to find the accelerations of the three masses in terms of m


    2. Relevant equations

    Net force equations

    3. The attempt at a solution

    I just want to make sure my net force equations are correct before I apply the conservation of string. For the mass on the left, I have [tex]\sum F=T - mg = ma_{1}[/tex] for the mass on the right I have [tex]\sum F = T - 3mg = 3ma_{3}[/tex] For the mass in the middle I have [tex]\sum F = 2T - 2mg = 2ma_{2}[/tex]
     
  2. jcsd
  3. Jan 28, 2010 #2
    Just to clarify this, the pulley in the middle is NOT attached to the ceiling.
     
  4. Sep 7, 2011 #3
    Did you ever find an answer to this problem? Currently working on it for my current physics course and i'm struggling.
     
  5. Sep 7, 2011 #4
    You are replying to an old post (last post Jan28-10). Does your problem look something like the attached?
     

    Attached Files:

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